Conformal Killing spinors and special geometric structures in Lorentzian geometry - a survey. (English) Zbl 1046.53032
Alekseevsky, Dmitri V. et al., Proceedings of the workshop on special geometric structures in string theory, Bonn, Germany, September 8–11, 2001. Bonn: Univ. Bonn, Mathematisches Institut. 15 p., electronic only (2001).
The paper is a survey on special geometric structures that admit conformal Killing spinors (conformally flat manifolds have the maximum number of degree of conformal symmetry measured by conformal Killing fields). The author discusses the case of Lorentzian signature and explains which geometries occur up to dimension 6. This survey may be interesting for physicists working in string theory.
For the entire collection see [Zbl 1012.00043].
For the entire collection see [Zbl 1012.00043].
Reviewer: Boris N. Apanasov (Norman)
MSC:
| 53C27 | Spin and Spin\({}^c\) geometry |
| 53C50 | Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics |
